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2 years ago

How are the graphs of the functions f(x) = /16x and g(x) = 3/64x related

Mathematics

1 answer:

seropon [69]2 years ago

3 0

Answer:

the functions f(x) and g(x) are equivalent

Step-by-step explanation:

Your full question is attached below

The equations of your problem are

f(x) = √(16^x)

f(x) = √(4^(2x))

f(x) = √(4^(2x)) = √(4^x.4^x)

f(x) = 4^(x)

and

g(x) = ∛64^x

g(x) = ∛4^(3x)

g(x) = ∛4^(3x) = ∛4^(x) .4^(x) .4^(x)

g(x) = 4^(x)

Thus, the functions f(x) and g(x) are equivalent

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Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 4? A. B.

Bad White [126]

Answer:

<h3>The probability that the sum of Michelle's rolls is 4 is 0.083 </h3><h3>∴ P(A)=0.083 </h3>

Step-by-step explanation:

Given that Michelle is rolling two six-sided dice, numbered one through six.

<h3>To find the probability that the sum of her rolls is 4:</h3>

$s={\{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\}$

Let P(A) be the probability that the sum of her rolls is 4

Then the possible rolls with sums of 4 can be written as

$A={\{(1,3),(2,2),(3,1)}\}$

The probability that the sum of her rolls is 4 is given by

$P(A)=\frac{n(A)}{n(s)}$

$=\frac{3}{36}$

$=\frac{1}{12}$

=0.083

<h3>∴ P(A)=0.083 </h3><h3>∴ the probability that the sum of Michelle's rolls is 4 is 0.083 </h3>

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%209%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B

OlgaM077 [116]

Answer:

$\frac{1}{(x-3)(x-2)}$

Step-by-step explanation:

Factorise the denominators of both fractions

x² - 9 and x² - 4 are both differences of squares and factor as

x² - 9 = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as

$\frac{x+2}{(x-3)(x+3)}$ × $\frac{x+3}{(x-2)(x+2)}$

Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving

$\frac{1}{(x-3)(x-2)}$

7 0

3 years ago

Mr. Kevin pays $37.95 per month for his cell phone with unlimited minutes. At this rate, what will his cellphone

masya89 [10]

$37.95 x12= 455.4 so Kevin’s cellphone will cost 455.4 for the year

5 0

2 years ago

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I spent 80% of my money and had $12 left. How much money did I have to start ?

xeze [42]

If you spent 80% that means you have 20% left, we'll use B as variable

20% x B = 12
0.20/0.20 x B = 12/0.20
B = 60

6 0

3 years ago

The number of patients treated at Dr. Martin's dentist office each day was recorded for nine days. These are the data: 6, 6, 6,

zmey [24]

Mean = 5.555555555.....
median = 6
mode = 6
range= 1

3 0

3 years ago